Answer:
The number of crates is 84580.
Explanation:
mass, m = 30 kg
height, h = 0.9 mm
Power, P = 0.5 hp = 0.5 x 746 W = 373 W
time, t = 1 minute = 60 s
Let the number of crates is n.
Power is given by the rate of doing work.
![P = \frac{n m gh}{t}\\\373 =\frac{n\times 30\times9.8\times 0.9\times 10^{-3}}{60}\\\\n =84580](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7Bn%20m%20gh%7D%7Bt%7D%5C%5C%5C373%20%3D%5Cfrac%7Bn%5Ctimes%2030%5Ctimes9.8%5Ctimes%200.9%5Ctimes%2010%5E%7B-3%7D%7D%7B60%7D%5C%5C%5C%5Cn%20%3D84580)
A non <span>foliated </span>rock has interlocking grains with no specific pattern.
Answer:
a). Maximum Length L=0.929m
b). T=0.83 Hz or 1.2s
c). Longer, the effortless waling T=2.1 Hz or t=0.475s
d). t=1.2s V=0.774 ![\frac{m}{s}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7Bs%7D)
t=0.475s V=1.95 ![\frac{m}{s}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7Bs%7D)
Explanation:
Length legs=L=1.1m
angle=50
the step that give the person forms a triangle whose two sides are known and the angle that forms between them, then using trigonometry as the image
Divide the original triangle in two and form a right triangle so the angle is 25 and the L is hypotenuse and the opposite is the step length
a).
![sin(\alpha) =\frac{op}{h}](https://tex.z-dn.net/?f=sin%28%5Calpha%29%20%3D%5Cfrac%7Bop%7D%7Bh%7D)
![op=h*sin(\frac{\alpha }{2})\\ op=1.1m*sin(\frac{50}{2})\\op=0.464m](https://tex.z-dn.net/?f=op%3Dh%2Asin%28%5Cfrac%7B%5Calpha%20%7D%7B2%7D%29%5C%5C%20op%3D1.1m%2Asin%28%5Cfrac%7B50%7D%7B2%7D%29%5C%5Cop%3D0.464m)
Length of the step
L=0.464m*2
L=0.928m
b).
period=T
![T=\frac{1}{time}=\frac{1}{t}\\ T=\frac{1}{1.2s}\\T=0.83 s^{-1}\\ T=0.83Hz](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B1%7D%7Btime%7D%3D%5Cfrac%7B1%7D%7Bt%7D%5C%5C%20T%3D%5Cfrac%7B1%7D%7B1.2s%7D%5C%5CT%3D0.83%20s%5E%7B-1%7D%5C%5C%20T%3D0.83Hz)
c).
![T1=2\pi *\sqrt{\frac{L}{g}} \\T1=2\pi *\sqrt{\frac{1.1m}{9.8\frac{m}{s^{2}}}}\\ T1=2.1 Hz](https://tex.z-dn.net/?f=T1%3D2%5Cpi%20%2A%5Csqrt%7B%5Cfrac%7BL%7D%7Bg%7D%7D%20%5C%5CT1%3D2%5Cpi%20%2A%5Csqrt%7B%5Cfrac%7B1.1m%7D%7B9.8%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D%7D%7D%5C%5C%20T1%3D2.1%20Hz)
The period is the inverse of the time of the motion so, the T1 is faster that the T because
![t=\frac{1}{T1}=t= \frac{1}{2.1}=0.47s](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B1%7D%7BT1%7D%3Dt%3D%20%5Cfrac%7B1%7D%7B2.1%7D%3D0.47s)
d).
The speed is the relation between the distance with time so:
![Vt=\frac{0.928m}{1.2s} \\Vt=0.773 \frac{m}{s} \\Vt=\frac{0.928m}{0.475s} \\Vt=1.953 \frac{m}{s}](https://tex.z-dn.net/?f=Vt%3D%5Cfrac%7B0.928m%7D%7B1.2s%7D%20%5C%5CVt%3D0.773%20%5Cfrac%7Bm%7D%7Bs%7D%20%5C%5CVt%3D%5Cfrac%7B0.928m%7D%7B0.475s%7D%20%5C%5CVt%3D1.953%20%5Cfrac%7Bm%7D%7Bs%7D)
For a wave is described by y=0.0200 sin (kx - ωt) , where , ω = 3.62 rad/s, x and y are in meters, and t is in seconds, the wavelength = 2.978
<h3>How to solve for the wavelength</h3>
What is wave speed?
This is used to refer to the speed at which a wave is moving. It is the product of frequency and wave number
Given data
y=0.0200 sin (kx - ωt)
ω = 3.62 rad/s
y are in meters
t is in seconds
k = 2.11 rad/m
k = wavenumber = 2 * pi / wavelength
wavelength = 2 * pi / wavenumber
wavelength = 2 * pi / 2.11
wavelength = 2.978
Read more on wavelength here
brainly.com/question/10728818
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#1 is 12 u just have to count that one was counting by 5's figure out the pattern on what its counting by and start at the bottom and count your way up till you get to the shaded line